Example 9-3 Estimating the Moment of Inertia Estimate the moment of inertia of a thin uniform rod of length L and mass M about an axis perpendicular to the rod and through one end. Execute this estimation by modeling the rod as three point masses, each point mass representing one-third of the rod. PICTURE Divide the rod into three identical segments, each of mass and length, and approximate each segment as a point mass located at its center of mass. Apply (

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Unformatted text preview: Equation 9-11 ) to obtain an approximate value for I . SOLVE 1. Sketch the rod divided into three segments and superpose the point-particle constructs at the center of each segment ( Figure 9-5 ): 2. Apply the equation to the approximate system (the point-particle constructs): Answer: 3. The mass of each particle is and the distances of the particles from the axis are and: Answer:...
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